Logarithm Operator

Logarithm Notation Annoated

The logarithm operator is the inverse operation of exponentiation. The subscript number is the base of the logarithm and the expression is what is being operated on. The relationship with exponets can be expressed using the two equations below:


Here are some general examples of the logarithm operator.

Base 2 Examples

By restricting the logarithm operator to base illustrates the pattern that the operator captures.

Base 3 Examples

Properties of Logarithms

Name Property
Product Rule
Quotient Rule